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Can someone solve this?

Find the values of the variables and the measures of the angles.

Can someone solve this? Find the values of the variables and the measures of the angles-example-1
User Dwjohnston
by
5.2k points

1 Answer

4 votes

Answer:

x = 52°

y = 25°

z = 90°

Explanation:

We know there are 180 degrees in a triangle. The box represents 90 degrees.

90° + x + 38° = 180°

x + 128° = 180°

x = 52°

Next, we know that a straight line is equal to 180 degrees. Again, the box represents 90 degrees.

90° + z = 180°

z = 90°

Lastly, we will use the same process for angle x, but for angle y.

y + z + 65° = 180°

y + 90° + 65° = 180°

y + 155° = 180°

y = 25°

User Benjie
by
5.4k points
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